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Finding the Fourth Proportional to 6,380.69, 9,571.59 and 1,763.69

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Solution

The fourth proportional to 6,380.69, 9,571.59 and 1,763.69 is: 2,645.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.69 : 9,571.59 = 1,763.69 : x
  2. Step 2: Convert to fraction form
    6,380.69/9,571.59 = 1,763.69/x
  3. Step 3: Cross multiply
    6,380.69x = 9,571.59 × 1,763.69
  4. Step 4: Simplify right side
    6,380.69x = 16,881,317.57
  5. Step 5: Solve for x
    x = 16,881,317.57/6,380.69
  6. Step 6: Final answer
    x = 2,645.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.